Large-scale nonlinear optimization in circuit tuning
Future Generation Computer Systems
Computational Optimization and Applications
Tool-support for the analysis of hybrid systems and models
Proceedings of the conference on Design, automation and test in Europe
A line search filter approach for the system of nonlinear equations
Computers & Mathematics with Applications
On the implementation of an interior-point SQP filter line search algorithm
SMO'06 Proceedings of the 6th WSEAS International Conference on Simulation, Modelling and Optimization
Practical implementation of an interior point nonmonotone line search filter method
International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering
A filter algorithm: comparison with NLP solvers
International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering
A penalty-function-free line search SQP method for nonlinear programming
Journal of Computational and Applied Mathematics
Optimization of a fertilizer spreading process
Mathematics and Computers in Simulation
International Journal of Applied Mathematics and Computer Science
On a Stabilization Problem of Nonlinear Programming Neural Networks
Neural Processing Letters
Primal-dual interior-point method for thermodynamic gas-particle partitioning
Computational Optimization and Applications
ICOSSE'06 Proceedings of the 5th WSEAS international conference on System science and simulation in engineering
Performance evaluation of an interior point filter line search method for constrained optimization
ICOSSSE'07 Proceedings of the 6th WSEAS international conference on System science and simulation in engineering
Performance evaluation of an interior point filter line search method for constrained optimization
MACMESE'07 Proceedings of the 9th WSEAS international conference on Mathematical and computational methods in science and engineering
On minimizing objective and KKT error in a filter line search strategy for an interior point method
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III
Branch-and-bound reduction type method for semi-infinite programming
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III
A line search filter algorithm with inexact step computations for equality constrained optimization
Applied Numerical Mathematics
Optimization-based approach to path planning for closed chain robot systems
International Journal of Applied Mathematics and Computer Science
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume Part I
Shakedown analysis with multidimensional loading spaces
Computational Mechanics
Computational Optimization and Applications
SIAM Journal on Optimization
Global and local convergence of a penalty-free method for nonlinear programming
Computers & Mathematics with Applications
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Line search methods are proposed for nonlinear programming using Fletcher and Leyffer's filter method [Math. Program., 91 (2002), pp. 239--269], which replaces the traditional merit function. Their global convergence properties are analyzed. The presented framework is applied to active set sequential quadratic programming (SQP) and barrier interior point algorithms. Under mild assumptions it is shown that every limit point of the sequence of iterates generated by the algorithm is feasible, and that there exists at least one limit point that is a stationary point for the problem under consideration. A new alternative filter approach employing the Lagrangian function instead of the objective function with identical global convergence properties is briefly discussed.